Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-30T20:00:47.665Z Has data issue: false hasContentIssue false
  • English
  • Français

COMPLETE MANIFOLDS WITH SECTIONAL CURVATURE BOUNDED BELOW AND LARGE VOLUME GROWTH

Published online by Cambridge University Press:  15 March 2002

CHANGYU XIA
CHANGYU XIA
Affiliation:
Departamento de Matemática-IE, Fundação Universidade de Brasília, Campus Universitário, 70910-900-Brasília-DF, [email protected]
Get access

Abstract

This paper provides a proof that an n-dimensional complete open Riemannian manifold M with sectional curvature KM [ges ] −1 is diffeomorphic to a Euclidean n-space Rn if the volume growth of geodesic balls in M is close to that of the balls in an n-dimensional hyperbolic space Hn(−1) of sectional curvature −1.

Type
PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 2 , March 2002 , pp. 229 - 235
Copyright
© 2002 The London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)